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Finding the Fourth Proportional to 412,277.84, 570,088.68 and 327,247.28

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Solution

The fourth proportional to 412,277.84, 570,088.68 and 327,247.28 is: 452,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,277.84 : 570,088.68 = 327,247.28 : x
  2. Step 2: Convert to fraction form
    412,277.84/570,088.68 = 327,247.28/x
  3. Step 3: Cross multiply
    412,277.84x = 570,088.68 × 327,247.28
  4. Step 4: Simplify right side
    412,277.84x = 186,559,969,888.79
  5. Step 5: Solve for x
    x = 186,559,969,888.79/412,277.84
  6. Step 6: Final answer
    x = 452,510.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.